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http://dx.doi.org/10.5351/CKSS.2012.19.3.405

On Statistical Inference of Stratified Population Mean with Bootstrap  

Heo, Tae-Young (Department of Information Statistics, Chungbuk National University)
Lee, Doo-Ri (Department of Information Statistics, Chungbuk National University)
Cho, Joong-Jae (Department of Information Statistics, Chungbuk National University)
Publication Information
Communications for Statistical Applications and Methods / v.19, no.3, 2012 , pp. 405-414 More about this Journal
Abstract
In a stratified sample, the sampling frame is divided into non-overlapping groups or strata (e.g. geographical areas, age-groups, and genders). A sample is taken from each stratum, if this sample is a simple random sample it is referred to as stratified random sampling. In this paper, we study the bootstrap inference (including confidence interval) and test for a stratified population mean. We also introduce the bootstrap consistency based on limiting distribution related to the plug-in estimator of the population mean. We suggest three bootstrap confidence intervals such as standard bootstrap method, percentile bootstrap method and studentized bootstrap method. We also suggest a bootstrap test method computing the $ASL_{boot}$(Achieved Significance Level). The results of estimation are verified using simulation.
Keywords
Stratified random sampling; bootstrap consistency; bootstrap confidence interval; bootstrap test; $ASL_{boot}$;
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